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Finding the Fourth Proportional to 10,514.94, 15,783.34 and 7,744.74

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Solution

The fourth proportional to 10,514.94, 15,783.34 and 7,744.74 is: 11,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.94 : 15,783.34 = 7,744.74 : x
  2. Step 2: Convert to fraction form
    10,514.94/15,783.34 = 7,744.74/x
  3. Step 3: Cross multiply
    10,514.94x = 15,783.34 × 7,744.74
  4. Step 4: Simplify right side
    10,514.94x = 122,237,864.63
  5. Step 5: Solve for x
    x = 122,237,864.63/10,514.94
  6. Step 6: Final answer
    x = 11,625.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.